MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { terms(N) -> cons(recip(sqr(N)), n__terms(s(N))) , terms(X) -> n__terms(X) , sqr(s(X)) -> s(add(sqr(X), dbl(X))) , sqr(0()) -> 0() , add(s(X), Y) -> s(add(X, Y)) , add(0(), X) -> X , dbl(s(X)) -> s(s(dbl(X))) , dbl(0()) -> 0() , first(X1, X2) -> n__first(X1, X2) , first(s(X), cons(Y, Z)) -> cons(Y, n__first(X, activate(Z))) , first(0(), X) -> nil() , activate(X) -> X , activate(n__terms(X)) -> terms(X) , activate(n__first(X1, X2)) -> first(X1, X2) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..